diff --git a/tests/unit/rl_utils_test.py b/tests/unit/rl_utils_test.py
index 027af794cf..452e5f474a 100644
--- a/tests/unit/rl_utils_test.py
+++ b/tests/unit/rl_utils_test.py
@@ -107,6 +107,89 @@ def test_with_incomplete_reasoning_tags(self):
     self.assertFalse(has_correct_format)
 
 
+class TestNormalizeFinalAnswer(unittest.TestCase):
+  """Tests for utils_rl.normalize_final_answer."""
+
+  @pytest.mark.cpu_only
+  def test_comma_boxed_and_currency(self):
+    # Comma-separated numbers, \\boxed{}, and leading $ are all normalized to plain integers
+    self.assertEqual(utils_rl.normalize_final_answer("1,000"), "1000")
+    self.assertEqual(utils_rl.normalize_final_answer("$1,000"), "1000")
+    self.assertEqual(utils_rl.normalize_final_answer("\\boxed{1,000}"), "1000")
+
+  @pytest.mark.cpu_only
+  def test_equation_splitting_and_unit_removal(self):
+    # Expressions with '=' are split on '='; trailing unit words are stripped
+    self.assertEqual(utils_rl.normalize_final_answer("x = 10"), "10")
+    self.assertEqual(utils_rl.normalize_final_answer("total = 100 meters"), "100")
+    self.assertEqual(utils_rl.normalize_final_answer("42 mph"), "42")
+
+  @pytest.mark.cpu_only
+  def test_latex_wrappers(self):
+    # \\text{}, \\textbf{}, and \\overline{} wrappers are removed, leaving inner content
+    self.assertEqual(utils_rl.normalize_final_answer("\\text{hello}"), "hello")
+    self.assertEqual(utils_rl.normalize_final_answer("\\textbf{42}"), "42")
+    self.assertEqual(utils_rl.normalize_final_answer("\\overline{AB}"), "AB")
+
+  @pytest.mark.cpu_only
+  def test_dollar_math_extraction(self):
+    # Content inside $...$ is extracted
+    self.assertEqual(utils_rl.normalize_final_answer("The answer is $\\frac{1}{2}$"), "\\frac{1}{2}")
+
+  @pytest.mark.cpu_only
+  def test_shorthand_frac_and_sqrt(self):
+    # Shorthand \\fracab and \\sqrta are expanded to their full LaTeX forms
+    self.assertEqual(utils_rl.normalize_final_answer("\\fracab"), "\\frac{a}{b}")
+    self.assertEqual(utils_rl.normalize_final_answer("\\sqrta"), "\\sqrt{a}")
+
+
+class TestMatchFormatApproximatelyScores(unittest.TestCase):
+  """Tests for utils_rl.match_format_approximately.
+
+  Each tag that appears exactly once contributes reward_partial_format_match (0.5).
+  Each tag that is absent or appears more than once contributes penalty_incorrect_format (-0.5).
+  With 4 tags the score ranges from -2.0 (all wrong) to 2.0 (all correct).
+  """
+
+  def setUp(self):
+    self.config = _make_config()
+
+  def _score(self, completion):
+    return utils_rl.match_format_approximately(None, completion, self.config)
+
+  @pytest.mark.cpu_only
+  def test_score_all_tags_present_exactly_once(self):
+    # All four tags present exactly once -> 4 * 0.5 = 2.0
+    self.assertEqual(self._score(["<reasoning>think</reasoning><answer>42</answer>"])[0], 2.0)
+
+  @pytest.mark.cpu_only
+  def test_score_no_tags_present(self):
+    # No tags at all -> 4 * -0.5 = -2.0
+    self.assertEqual(self._score(["The answer is 42."])[0], -2.0)
+
+  @pytest.mark.cpu_only
+  def test_score_only_answer_tags_present(self):
+    # Only <answer>...</answer> present -> 2 * 0.5 + 2 * -0.5 = 0.0
+    self.assertEqual(self._score(["<answer>42</answer>"])[0], 0.0)
+
+  @pytest.mark.cpu_only
+  def test_score_duplicate_reasoning_start_tag(self):
+    # Duplicate <reasoning> tag -> 3 * 0.5 + 1 * -0.5 = 1.0
+    self.assertEqual(self._score(["<reasoning><reasoning>think</reasoning><answer>42</answer>"])[0], 1.0)
+
+  @pytest.mark.cpu_only
+  def test_score_multiple_completions(self):
+    # Multiple completions at once -> one score per entry
+    multi_completions = [
+        "<reasoning>think</reasoning><answer>42</answer>",  # 2.0
+        "no tags here",  # -2.0
+    ]
+    scores = self._score(multi_completions)
+    self.assertEqual(len(scores), 2)
+    self.assertEqual(scores[0], 2.0)
+    self.assertEqual(scores[1], -2.0)
+
+
 class TestExtractHashAnswer(unittest.TestCase):
   """Tests for utils_rl.extract_hash_answer."""